On the fifth Whitney cone of a complex analytic curve
Algebraic Geometry
2021-08-20 v2 Complex Variables
Abstract
From a procedure to calculate the -cone of a reduced complex analytic curve at a singular point , we extract a collection of integers that we call {\it auxiliary multiplicities} and we prove they characterize the Lipschitz type of complex curve singularities. We then use them to improve the known bounds for the number of irreducible components of the -cone. We finish by giving an example showing that in a Lipschitz equisingular family of curves the number of planes in the -cone may not be constant.
Keywords
Cite
@article{arxiv.2106.14106,
title = {On the fifth Whitney cone of a complex analytic curve},
author = {Arturo Giles Flores and Otoniel Nogueira da Silva and Jawad Snoussi},
journal= {arXiv preprint arXiv:2106.14106},
year = {2021}
}